{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def CTV(a):\n",
    "    l=len(a)\n",
    "    b=np.zeros(l)\n",
    "    for i in range(l):\n",
    "        b[i]=int(a[i])\n",
    "    return b\n",
    "\n",
    "def extension(a):\n",
    "    b=np.insert(a,0,a[3])\n",
    "    b=np.insert(b,3,a[2])\n",
    "    b=np.insert(b,4,a[1])\n",
    "    b=np.insert(b,7,a[0])\n",
    "    return b\n",
    "\n",
    "def add1(a,b):\n",
    "    c=np.zeros(8)\n",
    "    c[0]=np.mod(a[0]+b[0],2)\n",
    "    c[1]=np.mod(a[1]+b[6],2)\n",
    "    c[2]=np.mod(a[2]+b[8],2)\n",
    "    c[3]=np.mod(a[3]+b[3],2)\n",
    "    c[4]=np.mod(a[4]+b[7],2)\n",
    "    c[5]=np.mod(a[5]+b[2],2)\n",
    "    c[6]=np.mod(a[6]+b[9],2)\n",
    "    c[7]=np.mod(a[7]+b[5],2)\n",
    "    return c\n",
    "\n",
    "def add2(a,b):\n",
    "    c=np.zeros(8)\n",
    "    c[0]=np.mod(a[0]+b[7],2)\n",
    "    c[1]=np.mod(a[1]+b[2],2)\n",
    "    c[2]=np.mod(a[2]+b[5],2)\n",
    "    c[3]=np.mod(a[3]+b[4],2)\n",
    "    c[4]=np.mod(a[4]+b[9],2)\n",
    "    c[5]=np.mod(a[5]+b[1],2)\n",
    "    c[6]=np.mod(a[6]+b[8],2)\n",
    "    c[7]=np.mod(a[7]+b[0],2)\n",
    "    return c\n",
    "\n",
    "def fun(a):\n",
    "    b=np.zeros(4)\n",
    "    b[0]=np.mod(a[3]+a[1]*(1-a[0])+a[0]*a[2]+a[0]*a[1]*a[2]*a[3],2)\n",
    "    b[1]=np.mod((1-a[0])*(1-a[2])+a[0]*(1-a[3])+a[0]*(1-a[1])+a[0]*a[2]+a[0]*a[1]*(1-a[2])*a[3],2)\n",
    "    b[2]=np.mod(a[5]+a[7]*(1-a[6])+a[4]*(1-a[7])+a[4]*(1-a[5])*a[6]*(1-a[7]),2)\n",
    "    b[3]=np.mod(a[6]*(1-a[7])+a[4]*(1-a[7])+(1-a[4])*a[5]*a[7]+a[4]*a[6]*a[7],2)\n",
    "    return b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def S_DES():\n",
    "    data = np.zeros((2**10, 8))\n",
    "    IP=[1,5,2,0,3,7,4,6]\n",
    "    IP2=[3,0,2,4,6,1,7,5]\n",
    "    # P=CTV('{:08b}'.format(random.randint(0,2**8-1)))\n",
    "    P=CTV('{:08b}'.format(20))\n",
    "    P=P[IP]\n",
    "    for j in range(2**10):\n",
    "        K=CTV('{:010b}'.format(j))\n",
    "        C=np.mod(fun(add1(extension(P[4:8]),K))+P[0:4],2)\n",
    "        C1=np.insert(C,0,P[4:8])\n",
    "        C=np.mod(fun(add2(extension(C1[4:8]),K))+C1[0:4],2)\n",
    "        C2=np.insert(C,4,C1[4:8])\n",
    "        C2=C2[IP2]\n",
    "        data[j,:]=C2\n",
    "    return data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    " P=CTV('{:08b}'.format(8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# f is a function; x0 is a N-dimention row vector; xerr is a const\n",
    "def NM(f,x0,xerr):\n",
    "    N=len(x0)\n",
    "    times=0\n",
    "    x=np.zeros((N+1,N))\n",
    "    y=np.zeros(N+1)\n",
    "    x[0,:]=x0.copy()\n",
    "    for ii in range(N):\n",
    "        x[ii+1,:]= x[0,:].copy()\n",
    "        if x[0,ii]==0:\n",
    "            x[ii+1,ii]=0.8\n",
    "        else:\n",
    "            x[ii+1,ii]=1.5*x[0,ii]\n",
    "    for ii in range(N+1):\n",
    "        b=x[ii,:].copy()\n",
    "        y[ii]=f(b)\n",
    "        times=times+1\n",
    "    for kk in range(10000):   \n",
    "        order=sorted(range(len(y.T)),key=lambda g: y[g])\n",
    "        x=x[order,:]\n",
    "        y=y[order]\n",
    "        print(x[0,:])\n",
    "        print(y[0])\n",
    "        print(times)\n",
    "        if y[0]< xerr:\n",
    "            break\n",
    "        m=np.mean(x[0:N,:],0)\n",
    "        r=2*m-x[N,:]\n",
    "        f_r=f(r)\n",
    "        times=times+1\n",
    "        if y[0] <= f_r and f_r < y[N-1]:\n",
    "            x[N,:]=r\n",
    "            y[N]=f_r\n",
    "            continue\n",
    "        elif f_r<y[0]:\n",
    "            s=m+2*(m-x[N,:])\n",
    "            f_s=f(s)\n",
    "            times=times+1\n",
    "            if f(s)<f_r:\n",
    "                x[N,:]=s\n",
    "                y[N]=f_s\n",
    "            else: \n",
    "                x[N,:]=r\n",
    "                y[N]=f_r\n",
    "            continue\n",
    "        elif f_r<y[N]:\n",
    "            c1=m+(r-m)*0.5\n",
    "            f_c1=f(c1)\n",
    "            times=times+1\n",
    "            if f(c1)<f_r:\n",
    "                x[N,:]=c1\n",
    "                y[N]=f_c1\n",
    "                continue\n",
    "        else:\n",
    "            c2=m+(x[N,:]-m)*0.5\n",
    "            f_c2=f(c2)\n",
    "            times=times+1\n",
    "            if f_c2<y[N]:\n",
    "                x[N,:]=c2\n",
    "                y[N]=f_c2\n",
    "                continue\n",
    "        for jj in range(1,N+1):\n",
    "            x[jj,:]=x[0,:]+(x[jj,:]-x[0,:])*0.5\n",
    "            y[jj]=f(x[jj,:])\n",
    "            times=times+1\n",
    "    return x[0,:],y[0],times"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# sample的参数分别为总采样数，每次采样数，初始采样半径，采样半径衰减系数4个参数\n",
    "# rate的参数分别为初始学习速率，学习速率衰减系数和一个常数三个参数\n",
    "# xerr为截止条件\n",
    "# x0为一个行向量\n",
    "def Gradd(f,x0,sample,rate,xerr):\n",
    "    x=x0.copy()\n",
    "    length=len(x)\n",
    "    m=0\n",
    "    L=[]\n",
    "    X=[]\n",
    "    for i in range(int(sample[0]/sample[1])):\n",
    "        L.append(f(x))\n",
    "        X.append(x)\n",
    "        sample[2]=sample[2]/((m+1)**(sample[3]))\n",
    "        for j in range(int(sample[1])):\n",
    "            xx=x+np.random.rand(length)*sample[2]\n",
    "            X.append(xx)\n",
    "            L.append(f(xx))\n",
    "        XX=[]\n",
    "        LL=[]\n",
    "        for jj in range(len(L)):\n",
    "            if all(np.abs(np.array(X[jj])-x) <= np.ones(length)*sample[2]):\n",
    "                XX.append(X[jj])\n",
    "                LL.append(L[jj])\n",
    "        regr = LinearRegression()\n",
    "        regr.fit(XX, LL)\n",
    "        g=regr.coef_\n",
    "        rate[0]=rate[0]/((m+1+rate[2])**(rate[1]))\n",
    "        if np.linalg.norm(g)*rate[0]<xerr:\n",
    "            break\n",
    "        x=x-rate[0]*g\n",
    "        m=m+1\n",
    "        print(x)\n",
    "        print(L[i*(sample[1]+1)])       \n",
    "        print(i+1)\n",
    "    return x,L[i*(sample[1]+1)]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g=nx.random_regular_graph(3,8,seed=0)\n",
    "# g1=nx.random_regular_graph(9,12,seed=1)\n",
    "# g2=nx.random_regular_graph(6,12,seed=1)\n",
    "list(g)\n",
    "nx.draw(g,with_labels=True,font_weight='bold')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "Sz=[[1,0],[0,-1]]\n",
    "Si=[[1,0],[0,1]]\n",
    "def addzz(t1,t2):\n",
    "    u=1\n",
    "    for ii in range(8):\n",
    "        if ii==t1 or ii==t2:\n",
    "            u=np.kron(u,Sz)\n",
    "        else:\n",
    "            u=np.kron(u,Si)\n",
    "    return u\n",
    "\n",
    "def addz(t):\n",
    "    u=1\n",
    "    for ii in range(8):\n",
    "        if ii==t:\n",
    "            u=np.kron(u,Sz)\n",
    "        else:\n",
    "            u=np.kron(u,Si)\n",
    "    return u"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "e0=[[1],[0]]\n",
    "e1=[[0],[1]]\n",
    "data=S_DES()\n",
    "n=np.size(data,1)\n",
    "# key=random.randint(0,2**n-1)\n",
    "key=100\n",
    "cipher=data[key,:]\n",
    "Ss=np.zeros((2**n,2**10))\n",
    "for i in range(2**10):\n",
    "    ds=1\n",
    "    for j in range(n):\n",
    "        if data[i,j]==0:\n",
    "            ds=np.kron(ds,e0)\n",
    "        else:\n",
    "            ds=np.kron(ds,e1)\n",
    "    Ss[:,i]=ds.T\n",
    "\n",
    "\n",
    "cf=0\n",
    "for i,j in list(g.edges):\n",
    "    if cipher[i]==cipher[j]:\n",
    "        cf=cf-addzz(i,j)\n",
    "    else:\n",
    "        cf=cf+addzz(i,j)\n",
    "\n",
    "# for i,j in list(g1.edges):\n",
    "#     if cipher[i]==cipher[j]:\n",
    "#         cf=cf-addzz(i,j)\n",
    "#     else:\n",
    "#         cf=cf+addzz(i,j)\n",
    "\n",
    "# for i,j in list(g2.edges):\n",
    "#     if cipher[i]==cipher[j]:\n",
    "#         cf=cf-addzz(i,j)\n",
    "#     else:\n",
    "#         cf=cf+addzz(i,j)\n",
    "\n",
    "for i in range(8):\n",
    "    if cipher[i]==0.:\n",
    "        cf=cf-0.5*addz(i)\n",
    "    else:\n",
    "        cf=cf+0.5*addz(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "       [  3.]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cff=np.zeros(len(cf))\n",
    "for i in range(len(cf)):\n",
    "    cff[i]=cf[i,i]\n",
    "cff.reshape(-1,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sortdis(M,C):\n",
    "    P=M\n",
    "    length=len(P)\n",
    "    basis=np.eye(length)\n",
    "    PPP=np.zeros(length)\n",
    "    PP=np.real(np.dot(np.dot(basis,C),basis))\n",
    "    for i in range(length):\n",
    "        PPP[i]=PP[i,i]\n",
    "    index= np.array(PPP).argsort()\n",
    "    P=P[index]\n",
    "    return P"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import QuantumCircuit, assemble, Aer\n",
    "from math import pi, sqrt\n",
    "from qiskit.quantum_info.operators import Operator, Pauli\n",
    "from qiskit.visualization import plot_bloch_multivector, plot_histogram\n",
    "sim = Aer.get_backend('aer_simulator')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "layer=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "f1=Operator(np.dot(np.sqrt(2),[\n",
    "    [-0.25-0.25j,0.25+0.25j,0.25+0.25j,-0.25-0.25j],\n",
    "    [-0.25+0.25j,-0.25+0.25j,-0.25+0.25j,-0.25+0.25j],\n",
    "    [0.25+0.25j,-0.25-0.25j,0.25+0.25j,-0.25-0.25j],\n",
    "    [0.25-0.25j,0.25-0.25j,-0.25+0.25j,-0.25+0.25j]\n",
    "]))\n",
    "f2=Operator(np.dot(np.sqrt(2),[\n",
    "    [-0.25+0.25j,-0.25-0.25j,0.25-0.25j,0.25+0.25j],\n",
    "    [0.25-0.25j,-0.25-0.25j,-0.25+0.25j,0.25+0.25j],\n",
    "    [0.25-0.25j,-0.25-0.25j,0.25-0.25j,-0.25-0.25j],\n",
    "    [-0.25+0.25j,-0.25-0.25j,-0.25+0.25j,-0.25-0.25j]\n",
    "]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# def costfunction(x):\n",
    "#     YB=[]\n",
    "#     ord=0\n",
    "#     for i in range(0,len(x),4):\n",
    "#         YB.append(np.arctan(np.sin(x[i]+x[i+1])/np.cos(x[i]-x[i+1]))+np.arctan(np.sin(x[i+2]+x[i+3])/np.cos(x[i+2]-x[i+3])))\n",
    "#     qc = QuantumCircuit(10)\n",
    "#     initial_state = [1,0]\n",
    "#     for qubit in range(10):\n",
    "#         qc.initialize(initial_state, qubit)\n",
    "#     # for qubit in range(0,10,5):\n",
    "#     #     qc.h(qubit)\n",
    "#     for i in range(layer):\n",
    "#         #第一层\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.unitary(f1,[qubit,qubit+1])\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.rz(-x[qubit+24*i]*2,qubit)\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "#         for qubit in range(1,7,4):\n",
    "#             qc.unitary(f1,[qubit,qubit+1])\n",
    "#         for qubit in range(1,7,4):\n",
    "#             qc.rz(-YB[int(ord)]*2,qubit)\n",
    "#             ord=ord+1\n",
    "#         for qubit in range(1,7,4):\n",
    "#             qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.unitary(f1,[qubit,qubit+1])\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.rz(-x[qubit+1+24*i]*2,qubit)\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.unitary(f2,[qubit,qubit+1])\n",
    "#         #第二层\n",
    "#         for qubit in range(2,9,2):\n",
    "#             qc.unitary(f1,[qubit,qubit+1])\n",
    "#         for qubit in range(2,9,2):\n",
    "#             qc.rz(-x[qubit+6+24*i]*2,qubit)\n",
    "#         for qubit in range(2,9,2):\n",
    "#             qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "#         for qubit in range(3,9,4):\n",
    "#             qc.unitary(f1,[qubit,qubit+1])\n",
    "#         for qubit in range(3,9,4):\n",
    "#             qc.rz(-YB[int(ord)]*2,qubit)\n",
    "#             ord=ord+1\n",
    "#         for qubit in range(3,9,4):\n",
    "#             qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "#         for qubit in range(2,9,2):\n",
    "#             qc.unitary(f1,[qubit,qubit+1])\n",
    "#         for qubit in range(2,9,2):\n",
    "#             qc.rz(-x[qubit+7+24*i]*2,qubit)\n",
    "#         for qubit in range(2,9,2):\n",
    "#             qc.unitary(f2,[qubit,qubit+1])\n",
    "#         #第三层\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.unitary(f1,[qubit,qubit+1])\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.rz(-x[qubit+16+24*i]*2,qubit)\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "#         for qubit in range(1,7,4):\n",
    "#             qc.unitary(f1,[qubit,qubit+1])\n",
    "#         for qubit in range(1,7,4):\n",
    "#             qc.rz(-YB[int(ord)]*2,qubit)\n",
    "#             ord=ord+1\n",
    "#         for qubit in range(1,7,4):\n",
    "#             qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.unitary(f1,[qubit,qubit+1])\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.rz(-x[qubit+17+24*i]*2,qubit)\n",
    "#         for qubit in range(0,8,2):\n",
    "#             qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "#     for qubit in range(5):\n",
    "#         qc.swap(qubit,9-qubit)\n",
    "\n",
    "#     qc.save_statevector()\n",
    "#     qobj = assemble(qc)\n",
    "#     state = sim.run(qobj).result().get_statevector()\n",
    "#     ampli=np.abs(state)\n",
    "#     state1=ampli*Ss\n",
    "#     state2=np.sqrt(np.sum(state1**2,1))\n",
    "#     # state3=state2/np.sqrt(np.sum(np.abs(state2)**2))\n",
    "#     ff=np.real(np.dot(np.dot(state2,cf),state2.T))\n",
    "#     # ff=np.sum(np.real(np.dot(np.dot(state1.T,cf),state1)))\n",
    "#     return ff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def costfunction(x):\n",
    "    qc = QuantumCircuit(10)\n",
    "    initial_state = [1,0]\n",
    "    for qubit in range(10):\n",
    "        qc.initialize(initial_state, qubit)\n",
    "    for qubit in range(10):\n",
    "        qc.h(qubit)\n",
    "    # qc.initialize(pre_state)\n",
    "    for i in range(layer):\n",
    "        # for qubit in range(12):\n",
    "        #     qc.h(qubit)\n",
    "        # for qubit in range(12):\n",
    "        #     qc.ryy(x[0+2*i],qubit,np.mod(qubit+1,12)+int((qubit+1)/12))\n",
    "        # for qubit in range(12):\n",
    "        #     qc.rx(x[1+2*i],qubit)\n",
    "        # for qubit in range(11):\n",
    "        #     qc.cz(11-qubit,10-qubit)\n",
    "        for qubit in range(10):\n",
    "            qc.ry(x[qubit+10*i],qubit)\n",
    "        # for qubit in range(12):\n",
    "        #     qc.rz(x[qubit+12+12*i],qubit)\n",
    "        for qubit in range(10):\n",
    "            # for ii in range(qubit,11):\n",
    "                # qc.cx(ii,ii+1)\n",
    "            # qc.rz(x[qubit+12+12*i],np.mod(qubit+1,12)+int((qubit+1)/12))\n",
    "            # qc.cy(qubit,np.mod(qubit+1,12)+int((qubit+1)/12))\n",
    "            # qc.rz(-x[qubit+12+12*i],np.mod(qubit+1,12)+int((qubit+1)/12))\n",
    "            # qc.cy(qubit,np.mod(qubit+1,12)+int((qubit+1)/12))\n",
    "            qc.cx(qubit,np.mod(qubit+1,10)+int((qubit+1)/10))\n",
    "        # for qubit in range(12):\n",
    "        #     qc.rx(qubit,np.mod(qubit+1,12)+int((qubit+1)/12))\n",
    "    for qubit in range(10):\n",
    "        qc.ry(x[qubit+10*(i+1)],qubit) \n",
    "    for qubit in range(5):\n",
    "        qc.swap(qubit,9-qubit)\n",
    "    qc.save_statevector()\n",
    "    qobj = assemble(qc)\n",
    "    state = sim.run(qobj).result().get_statevector()\n",
    "    ampli=np.abs(state)\n",
    "    state1=ampli*Ss\n",
    "    state2=np.sqrt(np.sum(state1**2,1))\n",
    "    # state3=state2/np.sqrt(np.sum(np.abs(state2)**2))\n",
    "    ff=np.real(np.dot(np.dot(state2,cf),state2.T))\n",
    "    # ff=np.sum(np.real(np.dot(np.dot(state1.T,cf),state1)))\n",
    "    return ff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "para=np.random.rand(20*layer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "para=np.zeros(20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.24058807  0.17807012  0.49992575  1.51266464  0.26782379  0.30144737\n",
      "  0.66535685  0.22042814  0.52954607  0.77634158  0.58906104  0.85052768\n",
      "  0.26427412 -0.16206146  0.86128627 -0.37313649  0.95145776  0.82061748\n",
      "  0.99848981  1.21293723]\n",
      "1.2888850819431625\n",
      "1\n",
      "[ 0.50215646  0.4115483   1.04499303  1.60268897 -0.05368116  0.10100079\n",
      "  0.6927193   0.57008916  0.42054996  0.61843339  1.01816604  1.12314611\n",
      "  0.55104225 -0.07541527  1.3482466  -0.09340805  0.79618167 -0.05717601\n",
      "  0.83860583  1.11483528]\n",
      "0.6860347427320955\n",
      "2\n",
      "[ 0.23652803  0.13602283  1.34526316  1.60961589 -0.0515933   0.02355059\n",
      "  0.56770567  0.92791959  0.56916974  0.0640699   0.5561971   1.16141164\n",
      "  0.58778965  0.42430928  1.54112908  0.13476128  0.4132467  -0.73526493\n",
      "  0.97017148  1.25905851]\n",
      "-0.3765656718301343\n",
      "3\n",
      "[ 0.66261589  0.00520183  1.95970407  1.68526269 -0.22774263 -0.14555022\n",
      "  0.69678815  1.10183852  0.44601031 -0.01992928  0.92691722  1.38652112\n",
      "  0.70464882  0.76738797  1.59623761  0.24374005  0.49823018 -0.234043\n",
      "  0.94683722  1.54153999]\n",
      "-0.7723016937837769\n",
      "4\n",
      "[ 0.50808621 -0.30151658  2.37692059  1.31966735 -0.10509547 -0.18472131\n",
      "  0.99802344  1.16664233  0.48663163 -0.05507809  0.76097718  1.38241836\n",
      "  0.91637752  0.77409128  1.52994564  0.27189281 -0.10196547 -0.49650437\n",
      "  1.22809554  1.37042535]\n",
      "-1.8733649774577512\n",
      "5\n",
      "[ 0.60328997 -0.20068312  2.83980876  1.06904723 -0.10237783 -0.17577772\n",
      "  1.15332437  1.54319146  0.2718413  -0.02376161  0.84520847  1.44315365\n",
      "  0.82990401  0.94165814  1.55557663  0.17167368  0.06356213  0.00287496\n",
      "  1.20395432  1.45800506]\n",
      "-2.1504894493037936\n",
      "6\n",
      "[ 0.58533925 -0.10473432  2.88408335  0.995879   -0.19404289 -0.16680796\n",
      "  1.27963684  1.27908299  0.14292786 -0.03199932  0.85015351  1.48680558\n",
      "  1.16074301  0.91062395  1.61799771  0.01730418 -0.18465598 -0.13542588\n",
      "  1.30784846  1.43738242]\n",
      "-3.3305781950471434\n",
      "7\n",
      "[ 5.85985904e-01 -1.33691105e-03  2.93641221e+00  8.41913155e-01\n",
      " -1.54994455e-01 -9.28886605e-02  1.28551648e+00  1.36794233e+00\n",
      "  7.54963646e-02 -6.31731465e-02  8.80666163e-01  1.53135012e+00\n",
      "  1.11978268e+00  1.10800585e+00  1.65951887e+00 -8.45873493e-02\n",
      " -1.47705299e-01 -6.07022846e-02  1.28252422e+00  1.42886551e+00]\n",
      "-3.3253757651504094\n",
      "8\n",
      "[ 0.5870291  -0.01754927  2.96220416  0.75157301 -0.1668044  -0.09565998\n",
      "  1.32548205  1.45198862  0.07351327 -0.06371332  0.91239672  1.54258505\n",
      "  1.14928483  1.16745901  1.70854815 -0.11286078 -0.12210592 -0.06924596\n",
      "  1.25242668  1.43743914]\n",
      "-3.577739085206955\n",
      "9\n",
      "[ 0.56876837 -0.02152155  2.9667956   0.67817648 -0.13411373 -0.09419114\n",
      "  1.35417901  1.45239888  0.07628959 -0.07806268  0.9032963   1.56133716\n",
      "  1.20959705  1.19893768  1.72421406 -0.10732756 -0.10337102 -0.06295165\n",
      "  1.26283592  1.44759047]\n",
      "-3.7114143190740343\n",
      "10\n",
      "[ 0.56614471 -0.03656322  2.98054329  0.65051956 -0.11907691 -0.08186356\n",
      "  1.36855005  1.4557619   0.08106368 -0.0906456   0.89489913  1.56413248\n",
      "  1.25292839  1.21456331  1.72685813 -0.09998614 -0.10927637 -0.07550199\n",
      "  1.26345139  1.46415556]\n",
      "-3.8371382138788173\n",
      "11\n",
      "[ 0.56956344 -0.04859854  2.98630444  0.62627077 -0.11579541 -0.08369187\n",
      "  1.3791428   1.46408818  0.08917675 -0.08743502  0.89167556  1.5533988\n",
      "  1.26739769  1.22827635  1.72118366 -0.09363301 -0.09899186 -0.07641437\n",
      "  1.26064355  1.47518459]\n",
      "-3.8981523748745213\n",
      "12\n",
      "[ 0.56992643 -0.05041565  2.98963071  0.61369747 -0.11523471 -0.08286647\n",
      "  1.38537121  1.4673269   0.09346617 -0.08812258  0.88988016  1.54959922\n",
      "  1.2787716   1.2315536   1.7267102  -0.09094749 -0.09596197 -0.08230642\n",
      "  1.25937452  1.48001139]\n",
      "-3.941022570419462\n",
      "13\n",
      "[ 0.56865952 -0.05302663  2.99296996  0.60567934 -0.11593491 -0.08088554\n",
      "  1.38840943  1.46941784  0.09538423 -0.0880902   0.88946418  1.54759707\n",
      "  1.28432854  1.23552284  1.72829452 -0.09017451 -0.09373367 -0.08239568\n",
      "  1.25854209  1.48140787]\n",
      "-3.961960954377065\n",
      "14\n",
      "[ 0.5682224  -0.05366765  2.9940867   0.60223696 -0.11584691 -0.07977992\n",
      "  1.39063372  1.47046133  0.09678812 -0.08819348  0.88873357  1.54564325\n",
      "  1.28759256  1.23702357  1.72987144 -0.08982984 -0.09322257 -0.08252641\n",
      "  1.2586184   1.48198512]\n",
      "-3.9736978572418007\n",
      "15\n",
      "[ 0.56820005 -0.05441433  2.99486206  0.59965953 -0.11586376 -0.07938633\n",
      "  1.39197633  1.47121772  0.09776229 -0.08826001  0.88857295  1.54469283\n",
      "  1.28963416  1.23808988  1.73043588 -0.08921049 -0.09313992 -0.08271532\n",
      "  1.25903668  1.48209651]\n",
      "-3.980022732253911\n",
      "16\n",
      "[ 0.56816895 -0.05477161  2.99543728  0.59825881 -0.11610551 -0.0789609\n",
      "  1.3925961   1.47152411  0.09804136 -0.08817713  0.88837887  1.54441295\n",
      "  1.29058225  1.23895077  1.73099192 -0.0888038  -0.09284541 -0.08288113\n",
      "  1.2591355   1.48232794]\n",
      "-3.9842473057473398\n",
      "17\n",
      "[ 0.5681929  -0.05495426  2.99568573  0.59742185 -0.11634155 -0.07869836\n",
      "  1.39306791  1.47167088  0.09829294 -0.0880952   0.88843735  1.54423812\n",
      "  1.2911421   1.2395928   1.73135233 -0.08851887 -0.09280935 -0.08298979\n",
      "  1.25906276  1.48232947]\n",
      "-3.9864503480588978\n",
      "18\n",
      "[ 0.56822831 -0.05498364  2.99583494  0.59691938 -0.11640357 -0.07859981\n",
      "  1.39326736  1.47174745  0.09841298 -0.08816129  0.88841481  1.54426341\n",
      "  1.29150734  1.23991034  1.73153536 -0.08839829 -0.09281259 -0.08300227\n",
      "  1.25916164  1.48235573]\n",
      "-3.9877755945388875\n",
      "19\n",
      "[ 0.56818435 -0.05497402  2.99591717  0.59665367 -0.11641883 -0.07856923\n",
      "  1.39340366  1.47178822  0.0984773  -0.08816426  0.88841625  1.54426888\n",
      "  1.29171415  1.24008757  1.73163574 -0.08832417 -0.09279379 -0.08301461\n",
      "  1.25920229  1.48237302]\n",
      "-3.988537471753204\n",
      "20\n",
      "[ 0.56818469 -0.05497541  2.99595552  0.59651276 -0.11644687 -0.07856664\n",
      "  1.39347981  1.47180845  0.09852489 -0.08817284  0.8883938   1.54426849\n",
      "  1.29182788  1.24016324  1.73166877 -0.0882805  -0.09276313 -0.08298973\n",
      "  1.25922067  1.48241184]\n",
      "-3.988991395735847\n",
      "21\n",
      "[ 0.56818329 -0.05497477  2.99597223  0.59645371 -0.11645544 -0.07856295\n",
      "  1.39352915  1.47181536  0.09852925 -0.08816159  0.88838302  1.54426281\n",
      "  1.29189042  1.24020389  1.73169084 -0.08825721 -0.09275412 -0.08298626\n",
      "  1.25924479  1.48243051]\n",
      "-3.989242787057673\n",
      "22\n"
     ]
    }
   ],
   "source": [
    "output=Gradd(costfunction,para,[1000,30,0.3,0.01],[2,0.2,0],0.0001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.90941642 0.83939583 0.86795632 0.43622391 0.83856046 0.39169857\n",
      " 0.24287005 0.2250864  0.02670867 0.04824307 0.10228578 0.24963249\n",
      " 0.69197006 0.92519355 0.11437075 0.8176373  0.20963438 0.51231435\n",
      " 1.20110365 0.67902192]\n",
      "0.989940693378075\n",
      "21\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "23\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "24\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "25\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "26\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "27\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "28\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "29\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "30\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "31\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "32\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "33\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "34\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "35\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "36\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "37\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "38\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "39\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "40\n",
      "[ 9.77622649e-01  9.02350515e-01  9.33053042e-01  4.68940708e-01\n",
      "  9.01452495e-01  4.21075962e-01  2.61085307e-01  2.41967883e-01\n",
      "  2.87118208e-02  5.18612978e-02  1.09957217e-01  2.68354927e-01\n",
      "  7.43867809e-01  9.94583065e-01  1.22948553e-01 -2.22044605e-16\n",
      "  2.25356954e-01  5.50737929e-01  8.60790947e-01  7.29948565e-01]\n",
      "0.48100288517910206\n",
      "41\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "43\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "44\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "45\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "46\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "47\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "48\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "49\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "50\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "51\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "52\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "53\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "54\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "55\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "56\n",
      "[0.74720043 0.86472627 1.10222673 0.5448206  0.57312572 0.5178423\n",
      " 0.18356959 0.21063814 0.03206435 0.05346133 0.12539087 0.29272403\n",
      " 0.90391555 0.37428045 0.12249432 0.13573793 0.20654026 0.45157276\n",
      " 1.18472289 0.87523744]\n",
      "0.08671472070503661\n",
      "57\n",
      "[ 0.69521087  0.86577075  0.85814428  0.90719138  0.5507841   0.47644815\n",
      "  0.22843454  0.24213155  0.0309191   0.05029848  0.12227674  0.27943135\n",
      "  0.79409245  0.93169506  0.13441049 -0.46809547  0.21143695  0.48773852\n",
      "  1.08936374  0.72785833]\n",
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      "59\n",
      "[ 0.69521087  0.86577075  0.85814428  0.90719138  0.5507841   0.47644815\n",
      "  0.22843454  0.24213155  0.0309191   0.05029848  0.12227674  0.27943135\n",
      "  0.79409245  0.93169506  0.13441049 -0.46809547  0.21143695  0.48773852\n",
      "  1.08936374  0.72785833]\n",
      "-0.17962600707425402\n",
      "60\n",
      "[ 0.69521087  0.86577075  0.85814428  0.90719138  0.5507841   0.47644815\n",
      "  0.22843454  0.24213155  0.0309191   0.05029848  0.12227674  0.27943135\n",
      "  0.79409245  0.93169506  0.13441049 -0.46809547  0.21143695  0.48773852\n",
      "  1.08936374  0.72785833]\n",
      "-0.17962600707425402\n",
      "61\n",
      "[ 0.69521087  0.86577075  0.85814428  0.90719138  0.5507841   0.47644815\n",
      "  0.22843454  0.24213155  0.0309191   0.05029848  0.12227674  0.27943135\n",
      "  0.79409245  0.93169506  0.13441049 -0.46809547  0.21143695  0.48773852\n",
      "  1.08936374  0.72785833]\n",
      "-0.17962600707425402\n",
      "62\n",
      "[ 0.69521087  0.86577075  0.85814428  0.90719138  0.5507841   0.47644815\n",
      "  0.22843454  0.24213155  0.0309191   0.05029848  0.12227674  0.27943135\n",
      "  0.79409245  0.93169506  0.13441049 -0.46809547  0.21143695  0.48773852\n",
      "  1.08936374  0.72785833]\n",
      "-0.17962600707425402\n",
      "63\n",
      "[ 0.69521087  0.86577075  0.85814428  0.90719138  0.5507841   0.47644815\n",
      "  0.22843454  0.24213155  0.0309191   0.05029848  0.12227674  0.27943135\n",
      "  0.79409245  0.93169506  0.13441049 -0.46809547  0.21143695  0.48773852\n",
      "  1.08936374  0.72785833]\n",
      "-0.17962600707425402\n",
      "64\n",
      "[ 0.69521087  0.86577075  0.85814428  0.90719138  0.5507841   0.47644815\n",
      "  0.22843454  0.24213155  0.0309191   0.05029848  0.12227674  0.27943135\n",
      "  0.79409245  0.93169506  0.13441049 -0.46809547  0.21143695  0.48773852\n",
      "  1.08936374  0.72785833]\n",
      "-0.17962600707425402\n",
      "65\n",
      "[ 0.69521087  0.86577075  0.85814428  0.90719138  0.5507841   0.47644815\n",
      "  0.22843454  0.24213155  0.0309191   0.05029848  0.12227674  0.27943135\n",
      "  0.79409245  0.93169506  0.13441049 -0.46809547  0.21143695  0.48773852\n",
      "  1.08936374  0.72785833]\n",
      "-0.17962600707425402\n",
      "66\n",
      "[ 0.69521087  0.86577075  0.85814428  0.90719138  0.5507841   0.47644815\n",
      "  0.22843454  0.24213155  0.0309191   0.05029848  0.12227674  0.27943135\n",
      "  0.79409245  0.93169506  0.13441049 -0.46809547  0.21143695  0.48773852\n",
      "  1.08936374  0.72785833]\n",
      "-0.17962600707425402\n",
      "67\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "69\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "70\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "71\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "72\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "73\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "74\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "75\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "76\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "77\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "78\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "79\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "80\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "81\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "82\n",
      "[ 0.78321925  1.16341603  1.09738137  0.62982576  0.63816759  0.55802253\n",
      "  0.17959135  0.21679695  0.03388772  0.06124955  0.13132091  0.31462825\n",
      "  0.91273137  0.7489485   0.13805859 -0.73575921  0.03307244  0.50679245\n",
      "  1.10256578  0.9193462 ]\n",
      "-0.5523620948996606\n",
      "83\n",
      "[ 0.76171077  1.06122742  1.14844924  0.91448319  0.40509063  0.66476717\n",
      "  0.10914635  0.18122671  0.03888404  0.06233962  0.144813    0.34397651\n",
      "  0.40978367  0.61869559  0.12041012 -1.22032496  0.15455224  0.4386645\n",
      "  1.45011825  0.97725657]\n",
      "-0.6295621899939404\n",
      "85\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "87\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "88\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "89\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "90\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "91\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "92\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "93\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "94\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "95\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "96\n",
      "[ 1.15288803  1.14572136  0.97733215  0.86112531  0.89329025  0.49456773\n",
      "  0.21941692  0.2598418   0.03669113  0.06340051  0.13157198  0.33111382\n",
      "  0.71936083  0.31474669  0.13931383 -1.89212009  0.16668453  0.55461258\n",
      "  1.12041343  0.81326768]\n",
      "-0.7243300188134831\n",
      "97\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "99\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "100\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "101\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "102\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "103\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "104\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "105\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "106\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "107\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "108\n",
      "[ 1.13258851  1.12328812  1.09669755  0.57841183  0.5832098   0.54398741\n",
      "  0.00186541  0.32150435  0.03017747  0.05610654  0.11774381  0.25852737\n",
      "  0.73079555  0.86591882  0.1463118  -0.59324347  0.17263157  0.6431044\n",
      "  1.01593001  0.87467355]\n",
      "-0.9403131119727877\n",
      "109\n",
      "[ 1.35228939  1.65969393  1.00940078  0.80662516  0.70808813  0.5725073\n",
      "  0.07169237  0.08556347  0.03375678  0.07198632  0.13428585  0.32292846\n",
      "  0.51715917  0.77867068  0.16940015 -1.70597718  0.09358156  0.63351285\n",
      "  1.02296312  0.91147514]\n",
      "-1.1771036470095377\n",
      "111\n",
      "[ 1.35228939  1.65969393  1.00940078  0.80662516  0.70808813  0.5725073\n",
      "  0.07169237  0.08556347  0.03375678  0.07198632  0.13428585  0.32292846\n",
      "  0.51715917  0.77867068  0.16940015 -1.70597718  0.09358156  0.63351285\n",
      "  1.02296312  0.91147514]\n",
      "-1.1771036470095377\n",
      "112\n",
      "[ 1.35228939  1.65969393  1.00940078  0.80662516  0.70808813  0.5725073\n",
      "  0.07169237  0.08556347  0.03375678  0.07198632  0.13428585  0.32292846\n",
      "  0.51715917  0.77867068  0.16940015 -1.70597718  0.09358156  0.63351285\n",
      "  1.02296312  0.91147514]\n",
      "-1.1771036470095377\n",
      "113\n",
      "[ 1.35228939  1.65969393  1.00940078  0.80662516  0.70808813  0.5725073\n",
      "  0.07169237  0.08556347  0.03375678  0.07198632  0.13428585  0.32292846\n",
      "  0.51715917  0.77867068  0.16940015 -1.70597718  0.09358156  0.63351285\n",
      "  1.02296312  0.91147514]\n",
      "-1.1771036470095377\n",
      "114\n",
      "[ 1.35228939  1.65969393  1.00940078  0.80662516  0.70808813  0.5725073\n",
      "  0.07169237  0.08556347  0.03375678  0.07198632  0.13428585  0.32292846\n",
      "  0.51715917  0.77867068  0.16940015 -1.70597718  0.09358156  0.63351285\n",
      "  1.02296312  0.91147514]\n",
      "-1.1771036470095377\n",
      "116\n",
      "[ 1.35228939  1.65969393  1.00940078  0.80662516  0.70808813  0.5725073\n",
      "  0.07169237  0.08556347  0.03375678  0.07198632  0.13428585  0.32292846\n",
      "  0.51715917  0.77867068  0.16940015 -1.70597718  0.09358156  0.63351285\n",
      "  1.02296312  0.91147514]\n",
      "-1.1771036470095377\n",
      "117\n",
      "[ 1.43533629  1.3941218   0.85536009  0.75659748  0.74164499  0.52642309\n",
      "  0.06364995  0.25483831  0.03639462  0.03552683  0.14710963  0.41466913\n",
      "  0.3003517   0.82584864  0.14680958 -1.24077456  0.07108898  0.5408306\n",
      "  0.95721319  0.85541373]\n",
      "-1.4096004315185036\n",
      "119\n",
      "[ 1.43533629  1.3941218   0.85536009  0.75659748  0.74164499  0.52642309\n",
      "  0.06364995  0.25483831  0.03639462  0.03552683  0.14710963  0.41466913\n",
      "  0.3003517   0.82584864  0.14680958 -1.24077456  0.07108898  0.5408306\n",
      "  0.95721319  0.85541373]\n",
      "-1.4096004315185036\n",
      "120\n",
      "[ 1.43533629  1.3941218   0.85536009  0.75659748  0.74164499  0.52642309\n",
      "  0.06364995  0.25483831  0.03639462  0.03552683  0.14710963  0.41466913\n",
      "  0.3003517   0.82584864  0.14680958 -1.24077456  0.07108898  0.5408306\n",
      "  0.95721319  0.85541373]\n",
      "-1.4096004315185036\n",
      "121\n",
      "[ 1.43533629  1.3941218   0.85536009  0.75659748  0.74164499  0.52642309\n",
      "  0.06364995  0.25483831  0.03639462  0.03552683  0.14710963  0.41466913\n",
      "  0.3003517   0.82584864  0.14680958 -1.24077456  0.07108898  0.5408306\n",
      "  0.95721319  0.85541373]\n",
      "-1.4096004315185036\n",
      "122\n",
      "[ 1.43533629  1.3941218   0.85536009  0.75659748  0.74164499  0.52642309\n",
      "  0.06364995  0.25483831  0.03639462  0.03552683  0.14710963  0.41466913\n",
      "  0.3003517   0.82584864  0.14680958 -1.24077456  0.07108898  0.5408306\n",
      "  0.95721319  0.85541373]\n",
      "-1.4096004315185036\n",
      "123\n",
      "[ 1.89389528  1.59164842  0.79770125  0.62931141  0.99571294  0.29784917\n",
      "  0.14403976  0.34339589  0.0303016   0.06155244  0.11107007  0.29640708\n",
      "  1.09959096  0.87534429  0.18428452 -1.60715262  0.01719721  0.63994738\n",
      "  0.41386604  0.78531605]\n",
      "-1.4766163780825128\n",
      "125\n",
      "[ 1.89389528  1.59164842  0.79770125  0.62931141  0.99571294  0.29784917\n",
      "  0.14403976  0.34339589  0.0303016   0.06155244  0.11107007  0.29640708\n",
      "  1.09959096  0.87534429  0.18428452 -1.60715262  0.01719721  0.63994738\n",
      "  0.41386604  0.78531605]\n",
      "-1.4766163780825128\n",
      "126\n",
      "[ 1.21716057  1.7647713   0.8032731   0.87708791  0.92097691  0.41378264\n",
      "  0.00337758  0.30731271  0.04120445  0.08639599  0.12581087  0.37687513\n",
      "  0.12070669  0.70107823  0.17166454 -1.85976542  0.028963    0.76850177\n",
      "  0.62371739  0.8893503 ]\n",
      "-1.5496858944632816\n",
      "128\n",
      "[ 1.21716057  1.7647713   0.8032731   0.87708791  0.92097691  0.41378264\n",
      "  0.00337758  0.30731271  0.04120445  0.08639599  0.12581087  0.37687513\n",
      "  0.12070669  0.70107823  0.17166454 -1.85976542  0.028963    0.76850177\n",
      "  0.62371739  0.8893503 ]\n",
      "-1.5496858944632816\n",
      "129\n",
      "[ 1.21716057  1.7647713   0.8032731   0.87708791  0.92097691  0.41378264\n",
      "  0.00337758  0.30731271  0.04120445  0.08639599  0.12581087  0.37687513\n",
      "  0.12070669  0.70107823  0.17166454 -1.85976542  0.028963    0.76850177\n",
      "  0.62371739  0.8893503 ]\n",
      "-1.5496858944632816\n",
      "130\n",
      "[ 1.21716057  1.7647713   0.8032731   0.87708791  0.92097691  0.41378264\n",
      "  0.00337758  0.30731271  0.04120445  0.08639599  0.12581087  0.37687513\n",
      "  0.12070669  0.70107823  0.17166454 -1.85976542  0.028963    0.76850177\n",
      "  0.62371739  0.8893503 ]\n",
      "-1.5496858944632816\n",
      "131\n",
      "[ 1.21716057  1.7647713   0.8032731   0.87708791  0.92097691  0.41378264\n",
      "  0.00337758  0.30731271  0.04120445  0.08639599  0.12581087  0.37687513\n",
      "  0.12070669  0.70107823  0.17166454 -1.85976542  0.028963    0.76850177\n",
      "  0.62371739  0.8893503 ]\n",
      "-1.5496858944632816\n",
      "132\n",
      "[ 1.64680304  1.50209117  0.81933195  0.80272934  0.78821572  0.43841393\n",
      "  0.02267075  0.26386362  0.03378154  0.06527188  0.12336215  0.33188806\n",
      "  0.30612453  1.0449988   0.14982626 -1.28094711  0.12326035  0.60467627\n",
      "  0.77542021  0.83334174]\n",
      "-1.6949688693928455\n",
      "134\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
      " -0.067441    0.22868368  0.03584323  0.07640986  0.12145616  0.37743906\n",
      "  0.22914656  0.91349083  0.14362514 -0.93873358  0.05549183  0.5984931\n",
      "  0.54366639  1.06042097]\n",
      "-2.0743474480546205\n",
      "136\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
      " -0.067441    0.22868368  0.03584323  0.07640986  0.12145616  0.37743906\n",
      "  0.22914656  0.91349083  0.14362514 -0.93873358  0.05549183  0.5984931\n",
      "  0.54366639  1.06042097]\n",
      "-2.0743474480546205\n",
      "137\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
      " -0.067441    0.22868368  0.03584323  0.07640986  0.12145616  0.37743906\n",
      "  0.22914656  0.91349083  0.14362514 -0.93873358  0.05549183  0.5984931\n",
      "  0.54366639  1.06042097]\n",
      "-2.0743474480546205\n",
      "138\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
      " -0.067441    0.22868368  0.03584323  0.07640986  0.12145616  0.37743906\n",
      "  0.22914656  0.91349083  0.14362514 -0.93873358  0.05549183  0.5984931\n",
      "  0.54366639  1.06042097]\n",
      "-2.0743474480546205\n",
      "139\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
      " -0.067441    0.22868368  0.03584323  0.07640986  0.12145616  0.37743906\n",
      "  0.22914656  0.91349083  0.14362514 -0.93873358  0.05549183  0.5984931\n",
      "  0.54366639  1.06042097]\n",
      "-2.0743474480546205\n",
      "140\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
      " -0.067441    0.22868368  0.03584323  0.07640986  0.12145616  0.37743906\n",
      "  0.22914656  0.91349083  0.14362514 -0.93873358  0.05549183  0.5984931\n",
      "  0.54366639  1.06042097]\n",
      "-2.0743474480546205\n",
      "141\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
      " -0.067441    0.22868368  0.03584323  0.07640986  0.12145616  0.37743906\n",
      "  0.22914656  0.91349083  0.14362514 -0.93873358  0.05549183  0.5984931\n",
      "  0.54366639  1.06042097]\n",
      "-2.0743474480546205\n",
      "142\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
      " -0.067441    0.22868368  0.03584323  0.07640986  0.12145616  0.37743906\n",
      "  0.22914656  0.91349083  0.14362514 -0.93873358  0.05549183  0.5984931\n",
      "  0.54366639  1.06042097]\n",
      "-2.0743474480546205\n",
      "143\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
      " -0.067441    0.22868368  0.03584323  0.07640986  0.12145616  0.37743906\n",
      "  0.22914656  0.91349083  0.14362514 -0.93873358  0.05549183  0.5984931\n",
      "  0.54366639  1.06042097]\n",
      "-2.0743474480546205\n",
      "144\n",
      "[ 2.07550888  1.76887245  1.16238983  0.07441506  1.11952598  0.49921265\n",
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      "  3.57872112e-02  6.21961272e-02  1.28366941e-01  3.83871644e-01\n",
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      "-2.4799874777754125\n",
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      "  3.57872112e-02  6.21961272e-02  1.28366941e-01  3.83871644e-01\n",
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      "[ 1.96043977e+00  1.88600274e+00  9.31547477e-01  5.87694535e-01\n",
      "  1.07182902e+00  4.13037110e-01 -1.00979623e-01  2.75496189e-01\n",
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      "  1.07182902e+00  4.13037110e-01 -1.00979623e-01  2.75496189e-01\n",
      "  3.57872112e-02  6.21961272e-02  1.28366941e-01  3.83871644e-01\n",
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      "  1.07182902e+00  4.13037110e-01 -1.00979623e-01  2.75496189e-01\n",
      "  3.57872112e-02  6.21961272e-02  1.28366941e-01  3.83871644e-01\n",
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      "-2.4799874777754125\n",
      "160\n",
      "[ 1.96043977e+00  1.88600274e+00  9.31547477e-01  5.87694535e-01\n",
      "  1.07182902e+00  4.13037110e-01 -1.00979623e-01  2.75496189e-01\n",
      "  3.57872112e-02  6.21961272e-02  1.28366941e-01  3.83871644e-01\n",
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      " -1.68593633e-03  7.21655517e-01  1.01055719e-01  8.83790831e-01]\n",
      "-2.4799874777754125\n",
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      "  1.07182902e+00  4.13037110e-01 -1.00979623e-01  2.75496189e-01\n",
      "  3.57872112e-02  6.21961272e-02  1.28366941e-01  3.83871644e-01\n",
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      "  0.21581444  1.33890773]\n",
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      "  0.25694456  1.32740287]\n",
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      "  0.71864476  0.6516574 ]\n",
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      "  0.71864476  0.6516574 ]\n",
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      "  0.38753603  0.32379396 -0.04220258 -1.37431062 -0.14550057  1.61459598\n",
      "  0.71864476  0.6516574 ]\n",
      "-8.562792934118347\n",
      "987\n",
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      " -1.29677359  1.10016273  0.17984641  0.38065806 -0.40269982 -1.08578309\n",
      "  0.4025877   0.16552572 -0.08961368 -1.52260174 -0.06509217  1.88477785\n",
      "  0.77383412  0.65005032]\n",
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      " -1.29677359  1.10016273  0.17984641  0.38065806 -0.40269982 -1.08578309\n",
      "  0.4025877   0.16552572 -0.08961368 -1.52260174 -0.06509217  1.88477785\n",
      "  0.77383412  0.65005032]\n",
      "-8.653491980009239\n",
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      " -1.29677359  1.10016273  0.17984641  0.38065806 -0.40269982 -1.08578309\n",
      "  0.4025877   0.16552572 -0.08961368 -1.52260174 -0.06509217  1.88477785\n",
      "  0.77383412  0.65005032]\n",
      "-8.653491980009239\n",
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      " -1.29677359  1.10016273  0.17984641  0.38065806 -0.40269982 -1.08578309\n",
      "  0.4025877   0.16552572 -0.08961368 -1.52260174 -0.06509217  1.88477785\n",
      "  0.77383412  0.65005032]\n",
      "-8.653491980009239\n",
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      " -1.38590546  1.1246364   0.20762344  0.34829722 -0.33189511 -1.23327589\n",
      "  0.26319594  0.01440437 -0.14764441 -1.46212375 -0.0624051   1.82953628\n",
      "  0.88201007  0.43405055]\n",
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      " -1.38590546  1.1246364   0.20762344  0.34829722 -0.33189511 -1.23327589\n",
      "  0.26319594  0.01440437 -0.14764441 -1.46212375 -0.0624051   1.82953628\n",
      "  0.88201007  0.43405055]\n",
      "-8.776449606811642\n",
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      " -1.38590546  1.1246364   0.20762344  0.34829722 -0.33189511 -1.23327589\n",
      "  0.26319594  0.01440437 -0.14764441 -1.46212375 -0.0624051   1.82953628\n",
      "  0.88201007  0.43405055]\n",
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      " -1.38590546  1.1246364   0.20762344  0.34829722 -0.33189511 -1.23327589\n",
      "  0.26319594  0.01440437 -0.14764441 -1.46212375 -0.0624051   1.82953628\n",
      "  0.88201007  0.43405055]\n",
      "-8.776449606811642\n",
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      " -1.38590546  1.1246364   0.20762344  0.34829722 -0.33189511 -1.23327589\n",
      "  0.26319594  0.01440437 -0.14764441 -1.46212375 -0.0624051   1.82953628\n",
      "  0.88201007  0.43405055]\n",
      "-8.776449606811642\n",
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      " -1.38590546  1.1246364   0.20762344  0.34829722 -0.33189511 -1.23327589\n",
      "  0.26319594  0.01440437 -0.14764441 -1.46212375 -0.0624051   1.82953628\n",
      "  0.88201007  0.43405055]\n",
      "-8.776449606811642\n",
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      " -1.2943278   1.15528216  0.18403007  0.3865306  -0.39643841 -1.12006142\n",
      "  0.47745509 -0.02200015 -0.08760191 -1.62122168 -0.09615659  1.81343334\n",
      "  0.90696152  0.5651403 ]\n",
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      "1001\n",
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      " -1.33172167  1.20160782  0.18190584  0.37901648 -0.35868802 -1.05088837\n",
      "  0.4936591   0.05261236 -0.08315622 -1.6094248  -0.11278012  1.67879842\n",
      "  0.83552377  0.62128794]\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
      "-8.97614829277486\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
      "-8.97614829277486\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
      "-8.97614829277486\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
      "-8.97614829277486\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
      "-8.97614829277486\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
      "-8.97614829277486\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
      "-8.97614829277486\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
      "-8.97614829277486\n",
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      " -1.35548054  1.1717414   0.18757203  0.40675536 -0.42480633 -1.20895037\n",
      "  0.48263483 -0.10658807 -0.10534679 -1.46829136 -0.13269576  1.88802155\n",
      "  0.86324534  0.47087042]\n",
      "-8.97614829277486\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
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      "  1.14145301  0.31025783]\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
      "1029\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
      "1032\n",
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      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
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      "[ 1.29543399  0.55300806  1.32465658  1.77419452  1.7038109   0.06423245\n",
      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
      "1034\n",
      "[ 1.29543399  0.55300806  1.32465658  1.77419452  1.7038109   0.06423245\n",
      " -1.30177523  1.25660166  0.21216021  0.39862003 -0.49604312 -1.37704477\n",
      "  0.39205156 -0.36932459 -0.17876612 -1.50453503 -0.00524367  2.01366875\n",
      "  1.14145301  0.31025783]\n",
      "-9.158223410423137\n",
      "1035\n",
      "[ 1.29390613  0.45310651  1.35923666  1.87674993  1.68293321  0.11716567\n",
      " -1.38894773  1.33457911  0.2239631   0.43026801 -0.54925674 -1.52975315\n",
      "  0.43967991 -0.44649128 -0.20550633 -1.49196817 -0.03862752  2.11994198\n",
      "  1.14557371  0.34686487]\n",
      "-9.260131356299366\n",
      "1037\n",
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      " -1.38894773  1.33457911  0.2239631   0.43026801 -0.54925674 -1.52975315\n",
      "  0.43967991 -0.44649128 -0.20550633 -1.49196817 -0.03862752  2.11994198\n",
      "  1.14557371  0.34686487]\n",
      "-9.260131356299366\n",
      "1038\n",
      "[ 1.29390613  0.45310651  1.35923666  1.87674993  1.68293321  0.11716567\n",
      " -1.38894773  1.33457911  0.2239631   0.43026801 -0.54925674 -1.52975315\n",
      "  0.43967991 -0.44649128 -0.20550633 -1.49196817 -0.03862752  2.11994198\n",
      "  1.14557371  0.34686487]\n",
      "-9.260131356299366\n",
      "1039\n",
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      "  1.21414064  0.06174567]\n",
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      "1097\n",
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      "  1.21414064  0.06174567]\n",
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      "  1.21414064  0.06174567]\n",
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      "  1.21414064  0.06174567]\n",
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      "  1.21414064  0.06174567]\n",
      "-9.795086416749125\n",
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      "  1.21414064  0.06174567]\n",
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      "  1.51614883  0.16330301]\n",
      "-11.927799559907175\n",
      "1706\n",
      "[ 1.71105021  0.06780162  1.61394226  2.36803901  1.4171945  -1.49117552\n",
      " -2.17739953  1.92324334  0.19853246  0.77116107 -0.17000616 -1.80238812\n",
      " -0.13053083 -0.55694474  0.02131075 -3.07552975 -0.62317243  1.44056211\n",
      "  1.51614883  0.16330301]\n",
      "-11.927799559907175\n",
      "1707\n",
      "[ 1.71105021  0.06780162  1.61394226  2.36803901  1.4171945  -1.49117552\n",
      " -2.17739953  1.92324334  0.19853246  0.77116107 -0.17000616 -1.80238812\n",
      " -0.13053083 -0.55694474  0.02131075 -3.07552975 -0.62317243  1.44056211\n",
      "  1.51614883  0.16330301]\n",
      "-11.927799559907175\n",
      "1708\n",
      "[ 1.71105021  0.06780162  1.61394226  2.36803901  1.4171945  -1.49117552\n",
      " -2.17739953  1.92324334  0.19853246  0.77116107 -0.17000616 -1.80238812\n",
      " -0.13053083 -0.55694474  0.02131075 -3.07552975 -0.62317243  1.44056211\n",
      "  1.51614883  0.16330301]\n",
      "-11.927799559907175\n",
      "1709\n",
      "[ 1.71105021  0.06780162  1.61394226  2.36803901  1.4171945  -1.49117552\n",
      " -2.17739953  1.92324334  0.19853246  0.77116107 -0.17000616 -1.80238812\n",
      " -0.13053083 -0.55694474  0.02131075 -3.07552975 -0.62317243  1.44056211\n",
      "  1.51614883  0.16330301]\n",
      "-11.927799559907175\n",
      "1710\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1712\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1713\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1715\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1716\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1717\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1718\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1720\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1721\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1722\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1723\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1724\n",
      "[ 1.67055436  0.0313642   1.59617943  2.52781495  1.41669382 -1.52013045\n",
      " -2.19699192  1.97481988  0.20662604  0.79636727 -0.21712145 -1.91762423\n",
      " -0.08692106 -0.75579881  0.01081789 -3.13324342 -0.61748957  1.44803219\n",
      "  1.55334758  0.13010598]\n",
      "-11.970259205649263\n",
      "1725\n",
      "[ 1.70197934  0.13840491  1.63552353  2.2623728   1.43250123 -1.42713512\n",
      " -2.14837532  1.85547651  0.19377127  0.75317185 -0.15720177 -1.74928036\n",
      " -0.11746304 -0.49882986  0.02527102 -2.91632557 -0.59785141  1.39827874\n",
      "  1.51568796  0.14822588]\n",
      "-11.974738198074808\n",
      "1727\n",
      "[ 1.70197934  0.13840491  1.63552353  2.2623728   1.43250123 -1.42713512\n",
      " -2.14837532  1.85547651  0.19377127  0.75317185 -0.15720177 -1.74928036\n",
      " -0.11746304 -0.49882986  0.02527102 -2.91632557 -0.59785141  1.39827874\n",
      "  1.51568796  0.14822588]\n",
      "-11.974738198074808\n",
      "1729\n",
      "[ 1.70197934  0.13840491  1.63552353  2.2623728   1.43250123 -1.42713512\n",
      " -2.14837532  1.85547651  0.19377127  0.75317185 -0.15720177 -1.74928036\n",
      " -0.11746304 -0.49882986  0.02527102 -2.91632557 -0.59785141  1.39827874\n",
      "  1.51568796  0.14822588]\n",
      "-11.974738198074808\n",
      "1730\n",
      "[ 1.70197934  0.13840491  1.63552353  2.2623728   1.43250123 -1.42713512\n",
      " -2.14837532  1.85547651  0.19377127  0.75317185 -0.15720177 -1.74928036\n",
      " -0.11746304 -0.49882986  0.02527102 -2.91632557 -0.59785141  1.39827874\n",
      "  1.51568796  0.14822588]\n",
      "-11.974738198074808\n",
      "1732\n",
      "[ 1.70197934  0.13840491  1.63552353  2.2623728   1.43250123 -1.42713512\n",
      " -2.14837532  1.85547651  0.19377127  0.75317185 -0.15720177 -1.74928036\n",
      " -0.11746304 -0.49882986  0.02527102 -2.91632557 -0.59785141  1.39827874\n",
      "  1.51568796  0.14822588]\n",
      "-11.974738198074808\n",
      "1733\n",
      "[ 1.70197934  0.13840491  1.63552353  2.2623728   1.43250123 -1.42713512\n",
      " -2.14837532  1.85547651  0.19377127  0.75317185 -0.15720177 -1.74928036\n",
      " -0.11746304 -0.49882986  0.02527102 -2.91632557 -0.59785141  1.39827874\n",
      "  1.51568796  0.14822588]\n",
      "-11.974738198074808\n",
      "1734\n",
      "[ 1.70197934  0.13840491  1.63552353  2.2623728   1.43250123 -1.42713512\n",
      " -2.14837532  1.85547651  0.19377127  0.75317185 -0.15720177 -1.74928036\n",
      " -0.11746304 -0.49882986  0.02527102 -2.91632557 -0.59785141  1.39827874\n",
      "  1.51568796  0.14822588]\n",
      "-11.974738198074808\n",
      "1736\n",
      "[ 1.68355031  0.02733838  1.62186589  2.43246055  1.36546277 -1.42540455\n",
      " -2.16665774  1.91791053  0.2012284   0.76730646 -0.18136613 -1.79959863\n",
      " -0.09882505 -0.69904208  0.01595969 -3.05659589 -0.61927593  1.41658966\n",
      "  1.50853209  0.16666838]\n",
      "-12.009547094864157\n",
      "1738\n"
     ]
    }
   ],
   "source": [
    "output=NM(costfunction,para,-12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "  0.5363806   0.48611471  0.64221044  0.64491729  0.79552376  0.72286831\n",
      "  0.33475679  0.3007164   0.98625343 -0.23271508  0.85386821  0.84440626\n",
      "  0.66013925  0.84588436] 0.47340235778340656\n",
      "[ 0.22386224  0.43107198 -0.71087165  1.65620681 -0.59893337  0.17091627\n",
      "  0.75015415  0.58359221  0.59446297  0.44514922  0.76886533  0.66653759\n",
      " -0.79680892 -0.72572679  1.20631714 -0.74764155  0.57753718  0.33390172\n",
      "  0.91031276  0.96507885] -0.12677996689777898\n",
      "[ 0.46498859  0.33309869 -1.42947628  1.78346707 -0.7102352   0.01286338\n",
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      " -0.98487358 -1.10247679  1.29472665 -0.86478612  0.51533067 -0.04398167\n",
      "  0.94218347  1.11109045] -0.7325286796569884\n",
      "[ 0.82628171  0.1704536  -2.72044154  1.90253818 -0.32893669 -0.07056197\n",
      "  1.29388293  1.27682436  0.88807879  0.31319077  1.29012513  0.56233599\n",
      " -0.9984503  -1.48565068  1.44494352 -0.75659084  0.47636899 -0.62443251\n",
      "  0.91321184  1.40483188] -1.466196689754346\n",
      "[ 1.07456163  0.06677557 -3.52100653  2.1016092  -0.02846023 -0.14305752\n",
      "  1.45077815  1.5727385   1.01811167  0.19263031  1.47891756  0.71579016\n",
      " -1.22325017 -1.56296295  1.53336162 -0.55442802  0.33486343 -0.83136851\n",
      "  0.79416367  1.54961736] -2.0335129532061478\n",
      "[ 1.28573135 -0.11781999 -3.84360101  2.48708028  0.1367284  -0.15580964\n",
      "  1.52187781  1.81025632  1.21992689  0.08740253  1.60448414  1.01773243\n",
      " -1.30653949 -1.54773197  1.58860825 -0.23019019  0.1324868  -0.75096529\n",
      "  0.43769728  1.7103173 ] -2.7752724143381338\n",
      "[ 1.4468883  -0.12679009 -3.43569233  2.67762123  0.36872049 -0.05925641\n",
      "  1.44688947  1.81184047  1.37002191  0.04406031  1.64026349  1.38131595\n",
      " -1.20164595 -1.20481701  1.57104945  0.12509331  0.05651966 -0.41357014\n",
      "  0.04759102  1.68236918] -3.8371192324270984\n",
      "[ 1.61674642 -0.11159207 -3.11365006  3.49436405  0.47948092  0.02484278\n",
      "  1.66211646  1.62381873  1.7380275  -0.09010113  1.63887826  1.89836149\n",
      " -1.70600261 -1.14765553  1.62570722  0.32681391 -0.0066516  -0.06016351\n",
      " -0.19576408  1.66758905] -4.325693931217101\n",
      "[ 1.52671325  0.00913225 -3.0393658   3.20588062  0.18873798  0.01266546\n",
      "  1.8291744   1.4861431   1.57365606 -0.04932035  1.57570871  1.67378372\n",
      " -1.70589948 -1.17882221  1.58872932  0.3789672  -0.04381994  0.13041862\n",
      "  0.0044645   1.54553424] -4.926432500279916\n",
      "[ 1.66516019  0.0138446  -3.16027339  3.13966698 -0.19827031 -0.04503633\n",
      "  2.44539531  1.57349035  1.35221153 -0.01336256  1.74785007  1.50112574\n",
      " -1.46990163 -1.6058229   1.56657236  0.73489209 -0.01066023  0.23789766\n",
      "  0.15316081  1.48328265] -6.1329075391309225\n",
      "[ 1.74866581e+00  1.75445085e-02 -3.19731264e+00  3.10612888e+00\n",
      " -3.50843804e-01 -6.28659387e-02  2.73337220e+00  1.60181645e+00\n",
      "  1.27339285e+00  1.19108701e-03  1.84148382e+00  1.43036454e+00\n",
      " -1.37577909e+00 -1.78122551e+00  1.55629053e+00  9.18779512e-01\n",
      "  2.06648833e-03  2.95539842e-01  2.08649473e-01  1.46046376e+00] -6.514105265923061\n",
      "[ 1.95306993 -0.01202042 -3.30584903  3.08998489 -0.40570596 -0.10770963\n",
      "  2.99759509  1.67988823  1.31272783  0.00632399  2.05668916  1.2494111\n",
      " -1.16488669 -1.86753521  1.59607519  0.97081096 -0.01119949  0.34605996\n",
      "  0.14725841  1.48477695] -6.999384658735925\n",
      "[ 2.077357   -0.10970764 -3.25631387  3.16257701 -0.45451192 -0.17427918\n",
      "  3.29334669  1.80134836  1.31457095  0.05041618  2.17488727  1.08690228\n",
      " -1.19305908 -1.86629383  1.69227788  1.1716938  -0.20021431  0.22363641\n",
      "  0.1296786   1.57069298] -7.694045444083889\n",
      "[ 2.22293789 -0.03180794 -3.21224088  3.15069117 -0.32549303 -0.21958621\n",
      "  3.40434923  2.16810271  1.49120402  0.14347352  2.30900479  1.10917823\n",
      " -1.32603405 -1.9218085   1.70086761  1.33670662 -0.39666111  0.06060211\n",
      "  0.08053189  1.65480758] -8.726712808563395\n",
      "[ 2.47955269  0.054672   -3.17961443  3.16989671 -0.10780224 -0.11901464\n",
      "  3.44221866  2.47104021  1.64655227  0.17613027  2.51909373  1.31852687\n",
      " -1.38965619 -1.75859404  1.62820234  1.50045293 -1.0957569  -0.21384998\n",
      "  0.04511315  1.73118706] -9.694065168954305\n",
      "[ 2.46788549 -0.03823911 -3.0629346   3.12510401 -0.00463032  0.10588605\n",
      "  3.30746018  2.97697602  1.77347807  0.07110526  2.44478774  1.48472581\n",
      " -1.60061997 -1.30260624  1.52261462  1.70966435 -1.30283492 -0.28026547\n",
      " -0.13873344  1.67053776] -10.16066641506245\n",
      "[ 2.38419086 -0.04796011 -3.09037462  3.13834247  0.12476325  0.05955127\n",
      "  3.13033264  2.94254319  1.6701813  -0.01160097  2.34882341  1.52989903\n",
      " -1.74664878 -1.53499116  1.59460533  1.72440844 -1.36739188 -0.22568627\n",
      " -0.24090832  1.5902905 ] -10.602293844126983\n",
      "[ 2.41592820e+00  1.48736515e-02 -3.10337905e+00  3.19222332e+00\n",
      "  1.08904512e-01 -1.61441271e-03  3.09662678e+00  2.93920219e+00\n",
      "  1.41604010e+00 -1.94708658e-02  2.38358345e+00  1.60677915e+00\n",
      " -1.73708243e+00 -1.57801261e+00  1.61339510e+00  1.66757913e+00\n",
      " -1.29769212e+00 -1.73428737e-01 -2.05957483e-01  1.56173209e+00] -10.84164701524734\n",
      "[ 2.35096537  0.10554158 -3.15113347  3.16691523  0.01769373 -0.05479251\n",
      "  3.19431657  2.86712807  1.20872835  0.00698816  2.32156236  1.72346194\n",
      " -1.64164056 -1.58923272  1.57240615  1.59805438 -1.30189697 -0.14221089\n",
      " -0.38958895  1.55193059] -11.122660733382043\n",
      "[ 2.26411937e+00  1.37427920e-01 -3.24683992e+00  2.99327306e+00\n",
      " -1.48841227e-01 -1.03260825e-01  3.31456015e+00  3.04564459e+00\n",
      "  2.45546003e-01 -5.72354119e-04  2.26003472e+00  1.96738125e+00\n",
      " -1.53330042e+00 -1.75382999e+00  1.45118506e+00  1.32661293e+00\n",
      " -1.62338516e+00 -5.86444195e-01 -1.19613368e+00  1.61261789e+00] -12.902963152759995\n",
      "[ 2.24611976  0.14579987 -3.26437508  2.98497704 -0.16312652 -0.1095838\n",
      "  3.32155627  3.05988513  0.0940993   0.01116753  2.24804876  1.9857333\n",
      " -1.50957671 -1.76273839  1.44615798  1.29912431 -1.65890062 -0.67316404\n",
      " -1.32798956  1.60673913] -13.087628533694058\n",
      "[ 2.23155377  0.11131838 -3.27095906  2.97321291 -0.18140989 -0.0996823\n",
      "  3.27741899  3.03262157  0.03374937 -0.01174152  2.24320166  1.9486562\n",
      " -1.46744549 -1.75156836  1.45289847  1.29641567 -1.64459207 -0.79383122\n",
      " -1.37000669  1.61890492] -13.418052165276608\n",
      "[ 2.22422514  0.08226488 -3.2502348   3.00096112 -0.16276625 -0.07347887\n",
      "  3.25512734  3.08681903 -0.0132175   0.01272792  2.24685467  1.85776504\n",
      " -1.42475936 -1.71677735  1.47026059  1.30771265 -1.71051804 -0.94129247\n",
      " -1.41179944  1.58418164] -13.994496755200485\n",
      "[ 2.24670412  0.06443401 -3.25108296  3.06478069 -0.13589936 -0.03318918\n",
      "  3.19087071  3.07530767 -0.14984943  0.0052565   2.2914414   1.70539055\n",
      " -1.45829323 -1.66525253  1.45421091  1.30478543 -1.66549832 -1.16084154\n",
      " -1.58194503  1.60867009] -14.892611773706335\n",
      "[ 2.27803553 -0.07693094 -3.14779937  3.01083952 -0.03135824 -0.06239275\n",
      "  3.09411157  3.15420894 -0.08219832 -0.05936606  2.37125037  1.65601036\n",
      " -1.4438539  -1.56579241  1.70669726  1.50041202 -1.62896791 -1.5861716\n",
      " -1.57810669  1.47237534] -15.618570586465216\n",
      "[ 2.2781977  -0.04385274 -3.13251803  3.06722356 -0.00627241 -0.00513322\n",
      "  3.05633383  3.15766391 -0.02592832  0.03674116  2.37548889  1.57993263\n",
      " -1.46556519 -1.55307596  1.61883701  1.57074339 -1.61695286 -1.67287969\n",
      " -1.5316632   1.56328305] -15.834775095115404\n",
      "[ 2.29281236e+00 -1.31828325e-02 -3.13805060e+00  3.13591305e+00\n",
      " -1.02588234e-03  3.58638341e-02  3.10088771e+00  3.16460054e+00\n",
      " -8.50365100e-03 -3.70033618e-02  2.38177920e+00  1.52786121e+00\n",
      " -1.49866747e+00 -1.56451535e+00  1.56336678e+00  1.57998128e+00\n",
      " -1.60528321e+00 -1.65511618e+00 -1.54199686e+00  1.55354631e+00] -15.924971588015563\n",
      "[ 2.32848312e+00 -5.36517181e-02 -3.16548108e+00  3.15962552e+00\n",
      " -1.79952987e-03  2.20836251e-02  3.16779555e+00  3.12725419e+00\n",
      " -1.34057988e-02  2.74510164e-02  2.39846414e+00  1.51993898e+00\n",
      " -1.58490375e+00 -1.56845424e+00  1.58117416e+00  1.53486753e+00\n",
      " -1.54591531e+00 -1.56473065e+00 -1.58440854e+00  1.55879027e+00] -15.960393943371535\n",
      "[ 2.33189089  0.01318793 -3.1452108   3.1528793  -0.00649951 -0.03866744\n",
      "  3.15839981  3.14413695 -0.01773233  0.00381375  2.39240631  1.55216877\n",
      " -1.5970632  -1.55843381  1.59402467  1.56453417 -1.56338549 -1.54403775\n",
      " -1.5985534   1.61403921] -15.971668245346716\n",
      "[ 2.33096135  0.01886579 -3.13908276  3.14467702 -0.00535459 -0.03059823\n",
      "  3.14539475  3.14101212 -0.01492018  0.00400617  2.39196149  1.57035806\n",
      " -1.58984876 -1.56479071  1.57287622  1.57550051 -1.56526307 -1.54959378\n",
      " -1.59311214  1.5913824 ] -15.987588882838162\n",
      "[ 2.31675318  0.00808046 -3.14368575  3.1381533   0.00416175  0.02857012\n",
      "  3.14987935  3.14458005  0.00828189 -0.00590619  2.38403575  1.58512089\n",
      " -1.56855953 -1.57335709  1.59320859  1.55868948 -1.57153901 -1.57955074\n",
      " -1.56004151  1.58212628] -15.992052118699734\n",
      "[ 2.31883479 -0.00769212 -3.14472308  3.14202162  0.00551059  0.00740931\n",
      "  3.1461461   3.14479068  0.01176372 -0.00615473  2.38531926  1.57574768\n",
      " -1.56424044 -1.57119818  1.57705747  1.56221716 -1.57396695 -1.57900526\n",
      " -1.55703753  1.57438864] -15.996908943181271\n",
      "[ 2.32460547e+00 -3.28836146e-03 -3.14341338e+00  3.14300058e+00\n",
      " -3.35730692e-03  6.77485439e-03  3.13864338e+00  3.14342797e+00\n",
      "  5.01323482e-03 -1.12517990e-03  2.38937633e+00  1.56827927e+00\n",
      " -1.56730361e+00 -1.57259072e+00  1.57580039e+00  1.57280002e+00\n",
      " -1.57394524e+00 -1.56952135e+00 -1.56669227e+00  1.56999329e+00] -15.999286589080715\n",
      "[ 2.32336736e+00 -1.02188784e-04 -3.14023516e+00  3.14090801e+00\n",
      "  4.47518067e-04  2.40502131e-03  3.14210429e+00  3.14115293e+00\n",
      " -8.00555683e-04  1.78743148e-04  2.38839922e+00  1.56747404e+00\n",
      " -1.56930825e+00 -1.57150702e+00  1.57176989e+00  1.57102936e+00\n",
      " -1.57078844e+00 -1.57111792e+00 -1.57038706e+00  1.56982713e+00] -15.999923907315631\n",
      "[ 2.32358317e+00  7.73172601e-05 -3.14196071e+00  3.14139960e+00\n",
      " -1.49715762e-04  9.93764968e-04  3.14174894e+00  3.14151227e+00\n",
      " -5.98134804e-04  1.49692939e-04  2.38827321e+00  1.57079309e+00\n",
      " -1.57097140e+00 -1.57058960e+00  1.57089528e+00  1.57096830e+00\n",
      " -1.57082220e+00 -1.57175581e+00 -1.57084903e+00  1.57026800e+00] -15.999990246390968\n",
      "[ 2.32424071e+00 -3.56770264e-05 -3.14122373e+00  3.14185486e+00\n",
      "  1.66868650e-04 -3.60956872e-04  3.14135693e+00  3.14164609e+00\n",
      "  3.52776468e-04 -6.72817610e-05  2.38871896e+00  1.57135098e+00\n",
      " -1.57052409e+00 -1.57104115e+00  1.57071802e+00  1.57034860e+00\n",
      " -1.57067717e+00 -1.57012516e+00 -1.57097315e+00  1.57125392e+00] -15.999993085537024\n",
      "[ 2.32410264e+00  1.29857907e-05 -3.14138973e+00  3.14171351e+00\n",
      "  9.48678629e-05 -2.70349185e-04  3.14145614e+00  3.14162163e+00\n",
      "  2.55743710e-04 -4.90797545e-05  2.38862380e+00  1.57105346e+00\n",
      " -1.57066204e+00 -1.57094323e+00  1.57075977e+00  1.57053845e+00\n",
      " -1.57072405e+00 -1.57036264e+00 -1.57086345e+00  1.57107080e+00] -15.999997584456992\n",
      "[ 2.32388158e+00 -9.02582222e-05 -3.14155338e+00  3.14166775e+00\n",
      " -1.13553064e-05  1.08412474e-04  3.14161864e+00  3.14160168e+00\n",
      " -1.21267121e-04  1.60976989e-05  2.38844879e+00  1.57092002e+00\n",
      " -1.57077157e+00 -1.57078962e+00  1.57078406e+00  1.57084487e+00\n",
      " -1.57081640e+00 -1.57087593e+00 -1.57085838e+00  1.57078378e+00] -15.999999781370967\n",
      "[ 2.32391166e+00  6.76415064e-05 -3.14166312e+00  3.14152799e+00\n",
      "  1.75549471e-05 -2.36171813e-05  3.14158199e+00  3.14157823e+00\n",
      "  4.32127404e-05 -1.80054035e-06  2.38850165e+00  1.57069368e+00\n",
      " -1.57080123e+00 -1.57076833e+00  1.57080839e+00  1.57078677e+00\n",
      " -1.57078907e+00 -1.57078986e+00 -1.57075669e+00  1.57076777e+00] -15.999999894590847\n",
      "[ 2.32389948e+00 -5.02216763e-06 -3.14156940e+00  3.14158799e+00\n",
      " -2.36031731e-05 -1.63073574e-05  3.14159573e+00  3.14159834e+00\n",
      "  1.61665330e-05 -3.04172192e-06  2.38847986e+00  1.57078635e+00\n",
      " -1.57082132e+00 -1.57081277e+00  1.57079307e+00  1.57078068e+00\n",
      " -1.57079567e+00 -1.57081056e+00 -1.57078901e+00  1.57080159e+00] -15.999999986153346\n",
      "[ 2.32390444e+00 -6.16842028e-06 -3.14158492e+00  3.14160134e+00\n",
      " -1.36024273e-06 -2.10473782e-06  3.14159375e+00  3.14159397e+00\n",
      " -2.33200621e-06 -1.71627408e-07  2.38847990e+00  1.57080646e+00\n",
      " -1.57079658e+00 -1.57080154e+00  1.57079644e+00  1.57079992e+00\n",
      " -1.57079656e+00 -1.57079204e+00 -1.57079927e+00  1.57080061e+00] -15.99999999859606\n",
      "[ 2.32390753e+00 -1.21602296e-06 -3.14159287e+00  3.14158818e+00\n",
      "  2.09624946e-07  3.52923586e-06  3.14159268e+00  3.14159341e+00\n",
      " -1.15991216e-06 -4.50411139e-07  2.38848500e+00  1.57079571e+00\n",
      " -1.57079680e+00 -1.57079406e+00  1.57079417e+00  1.57079424e+00\n",
      " -1.57079726e+00 -1.57079755e+00 -1.57079667e+00  1.57079673e+00] -15.999999999752962\n",
      "[ 2.32390615e+00  1.15183674e-06 -3.14159352e+00  3.14159188e+00\n",
      " -2.33394266e-07  6.82449810e-07  3.14159243e+00  3.14159220e+00\n",
      "  4.67171208e-07  1.79467986e-07  2.38848368e+00  1.57079518e+00\n",
      " -1.57079576e+00 -1.57079509e+00  1.57079645e+00  1.57079487e+00\n",
      " -1.57079609e+00 -1.57079798e+00 -1.57079605e+00  1.57079525e+00] -15.999999999953285\n",
      "[ 2.32390582e+00 -4.14137842e-07 -3.14159290e+00  3.14159257e+00\n",
      "  4.58991296e-07 -5.63480057e-07  3.14159287e+00  3.14159305e+00\n",
      " -2.09351131e-07 -1.02055653e-07  2.38848274e+00  1.57079639e+00\n",
      " -1.57079680e+00 -1.57079745e+00  1.57079633e+00  1.57079750e+00\n",
      " -1.57079652e+00 -1.57079554e+00 -1.57079645e+00  1.57079686e+00] -15.99999999998036\n",
      "[ 2.32390602e+00 -9.59980185e-08 -3.14159230e+00  3.14159286e+00\n",
      " -1.22805824e-07  2.31731646e-08  3.14159263e+00  3.14159259e+00\n",
      "  3.34114544e-08 -3.27902031e-08  2.38848288e+00  1.57079662e+00\n",
      " -1.57079631e+00 -1.57079606e+00  1.57079633e+00  1.57079633e+00\n",
      " -1.57079633e+00 -1.57079596e+00 -1.57079628e+00  1.57079639e+00] -15.999999999998193\n",
      "Optimization terminated successfully.\n",
      "         Current function value: -16.000000\n",
      "         Iterations: 45\n",
      "         Function evaluations: 1239\n",
      "         Gradient evaluations: 59\n"
     ]
    }
   ],
   "source": [
    "from scipy.optimize import minimize\n",
    "output2=minimize(costfunction, para, method='BFGS',jac =None, options={'disp':True}, callback=lambda x: print(x,costfunction(x)))#优化函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.66272755e+00,  1.57079692e+00,  4.68798669e-01,  1.57079583e+00,\n",
       "       -5.53319578e-01,  1.57079626e+00, -2.73525158e+00, -1.57079636e+00,\n",
       "        2.07937856e+00,  1.57079514e+00,  9.19318944e-02,  4.61105635e-07,\n",
       "        1.10199749e+00,  1.63902669e-06,  2.12411615e+00, -8.89853733e-07,\n",
       "       -1.16445484e+00,  1.75351091e-06,  5.08582593e-01, -1.75265352e-07])"
      ]
     },
     "execution_count": 149,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output2.x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "ename": "IndexError",
     "evalue": "index 20 is out of bounds for axis 0 with size 20",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m/tmp/ipykernel_217810/2530505574.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m     60\u001b[0m         \u001b[0mqc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munitary\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mqubit\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mqubit\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     61\u001b[0m     \u001b[0;32mfor\u001b[0m \u001b[0mqubit\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m8\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 62\u001b[0;31m         \u001b[0mqc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mrz\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0moutput2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mqubit\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m16\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m24\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mqubit\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     63\u001b[0m     \u001b[0;32mfor\u001b[0m \u001b[0mqubit\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m8\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     64\u001b[0m         \u001b[0mqc\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0munitary\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mqubit\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mqubit\u001b[0m\u001b[0;34m+\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mIndexError\u001b[0m: index 20 is out of bounds for axis 0 with size 20"
     ]
    }
   ],
   "source": [
    "qkey=np.zeros((2**10,1))\n",
    "qkey[key]=1\n",
    "YB=[]\n",
    "ord=0\n",
    "for i in range(0,len(output2.x),4):\n",
    "    YB.append(np.arctan(np.sin(output2.x[i]+output2.x[i+1])/np.cos(output2.x[i]-output2.x[i+1]))+np.arctan(np.sin(output2.x[i+2]+output2.x[i+3])/np.cos(output2.x[i+2]-output2.x[i+3])))\n",
    "qc = QuantumCircuit(10)\n",
    "initial_state = [1,0]\n",
    "for qubit in range(10):\n",
    "    qc.initialize(initial_state, qubit)\n",
    "# for qubit in range(12):\n",
    "#     qc.h(qubit)\n",
    "for i in range(layer):\n",
    "    #第一层\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.unitary(f1,[qubit,qubit+1])\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.rz(-output2.x[qubit+24*i]*2,qubit)\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "    for qubit in range(1,7,4):\n",
    "        qc.unitary(f1,[qubit,qubit+1])\n",
    "    for qubit in range(1,7,4):\n",
    "        qc.rz(-YB[int(ord)]*2,qubit)\n",
    "        ord=ord+1\n",
    "    for qubit in range(1,7,4):\n",
    "        qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.unitary(f1,[qubit,qubit+1])\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.rz(-output2.x[qubit+1+24*i]*2,qubit)\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.unitary(f2,[qubit,qubit+1])\n",
    "    #第二层\n",
    "    for qubit in range(2,9,2):\n",
    "        qc.unitary(f1,[qubit,qubit+1])\n",
    "    for qubit in range(2,9,2):\n",
    "        qc.rz(-output2.x[qubit+6+24*i]*2,qubit)\n",
    "    for qubit in range(2,9,2):\n",
    "        qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "    for qubit in range(3,9,4):\n",
    "        qc.unitary(f1,[qubit,qubit+1])\n",
    "    for qubit in range(3,9,4):\n",
    "        qc.rz(-YB[int(ord)]*2,qubit)\n",
    "        ord=ord+1\n",
    "    for qubit in range(3,9,4):\n",
    "        qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "    for qubit in range(2,9,2):\n",
    "        qc.unitary(f1,[qubit,qubit+1])\n",
    "    for qubit in range(2,9,2):\n",
    "        qc.rz(-output2.x[qubit+7+24*i]*2,qubit)\n",
    "    for qubit in range(2,9,2):\n",
    "        qc.unitary(f2,[qubit,qubit+1])\n",
    "    #第三层\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.unitary(f1,[qubit,qubit+1])\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.rz(-output2.x[qubit+16+24*i]*2,qubit)\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "    for qubit in range(1,7,4):\n",
    "        qc.unitary(f1,[qubit,qubit+1])\n",
    "    for qubit in range(1,7,4):\n",
    "        qc.rz(-YB[int(ord)]*2,qubit)\n",
    "        ord=ord+1\n",
    "    for qubit in range(1,7,4):\n",
    "        qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.unitary(f1,[qubit,qubit+1])\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.rz(-output2.x[qubit+17+24*i]*2,qubit)\n",
    "    for qubit in range(0,8,2):\n",
    "        qc.unitary(f2,[qubit,qubit+1])\n",
    "\n",
    "for qubit in range(5):\n",
    "    qc.swap(qubit,9-qubit)\n",
    "qc.save_statevector()\n",
    "qobj = assemble(qc)\n",
    "state = sim.run(qobj).result().get_statevector()\n",
    "fidelity=np.abs(np.dot(state,qkey))**2\n",
    "print(fidelity)\n",
    "ampli=np.abs(state)\n",
    "state1=ampli*Ss\n",
    "state2=np.sum(state1**2,1)\n",
    "p=sortdis(state2,cf)\n",
    "plt.plot(range(2**8),p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[9.66632352e-38]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2b674563b7c0>]"
      ]
     },
     "execution_count": 154,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "qkey=np.zeros((2**10,1))\n",
    "qkey[key]=1\n",
    "qc = QuantumCircuit(10)\n",
    "initial_state = [1,0]\n",
    "for qubit in range(10):\n",
    "    qc.initialize(initial_state, qubit)\n",
    "for qubit in range(10):\n",
    "    qc.h(qubit)\n",
    "# qc.initialize(pre_state)\n",
    "for i in range(layer):\n",
    "    # for qubit in range(12):\n",
    "    #     qc.h(qubit)\n",
    "    # for qubit in range(12):\n",
    "    #     qc.ryy(output[0][0+2*i],qubit,np.mod(qubit+1,12)+int((qubit+1)/12))\n",
    "    # for qubit in range(12):\n",
    "    #     qc.rx(output[0][1+2*i],qubit)\n",
    "    # for qubit in range(12):\n",
    "    #     qc.cz(qubit,np.mod(qubit+1,12)+int((qubit+1)/12))\n",
    "    for qubit in range(10):\n",
    "        qc.ry(output2.x[qubit+10*i],qubit)\n",
    "    # for qubit in range(12):\n",
    "    #     qc.rz(output[qubit+12+12*i],qubit)\n",
    "    for qubit in range(10):\n",
    "        # for ii in range(11):\n",
    "        #     qc.cx(ii,ii+1)\n",
    "        qc.cz(qubit,np.mod(qubit+1,10)+int((qubit+1)/10))\n",
    "for qubit in range(10):\n",
    "    qc.ry(output2.x[qubit+10*(1+i)],qubit) \n",
    "for qubit in range(5):\n",
    "    qc.swap(qubit,9-qubit)\n",
    "qc.save_statevector()\n",
    "qobj = assemble(qc)\n",
    "state = sim.run(qobj).result().get_statevector()\n",
    "# pre_state=state\n",
    "fidelity=np.abs(np.dot(state,qkey))**2\n",
    "print(fidelity)\n",
    "ampli=np.abs(state)\n",
    "state1=ampli*Ss\n",
    "state2=np.sum(state1**2,1)\n",
    "p=sortdis(state2,cf)\n",
    "plt.plot(range(2**8),p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(array([7]),)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([1.])"
      ]
     },
     "execution_count": 155,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "position=np.where(p==np.max(p))\n",
    "print(position)\n",
    "p[position]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.118775739246061e-36"
      ]
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'10110110'"
      ]
     },
     "execution_count": 157,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bin(np.argmax([np.abs(state2)]))[2:].zfill(8)[::]#返回最优解"
   ]
  }
 ],
 "metadata": {
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